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Finding the Third Proportional to 212,253 and 462,414

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Solution

The third proportional to 212,253 and 462,414 is: 1,007,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,253 : 462,414 = 462,414 : x
  2. Step 2: Convert to fraction form
    212,253/462,414 = 462,414/x
  3. Step 3: Cross multiply
    212,253x = 462,414 × 462,414
  4. Step 4: Simplify right side
    212,253x = 213,826,707,396
  5. Step 5: Solve for x
    x = 213,826,707,396/212,253
  6. Step 6: Final answer
    x = 1,007,414.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.